Grant makes good points about runoff. Fertilizer or not, grass still has runoff resulting in silt flowing into the lake too. Lowbush blueberry has a better root structure, Geese don't like it and it doesn't need to be mowed. Here's one source:
https://turfinstaller.net/sod-turf-p...ry-native-sod/
And, I understand grass muffins and pies require a lot of chewing unless you're a goose.